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A139616

a(n) = 120*n + 16.

16, 136, 256, 376, 496, 616, 736, 856, 976, 1096, 1216, 1336, 1456, 1576, 1696, 1816, 1936, 2056, 2176, 2296, 2416, 2536, 2656, 2776, 2896, 3016, 3136, 3256, 3376, 3496, 3616, 3736, 3856, 3976, 4096, 4216, 4336, 4456, 4576, 4696, 4816

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OFFSET

0,1

COMMENTS

Numbers of the 16th column of positive numbers in the square array of nonnegative and polygonal numbers A139600. Also, numbers of the 16th column in the square array A057145.

LINKS

Vincenzo Librandi, Table of n, a(n) for n = 0..5000

Index entries for linear recurrences with constant coefficients, signature (2,-1).

FORMULA

a(n) = 2*a(n-1)-a(n-2). - Wesley Ivan Hurt, Jun 17 2021

From Elmo R. Oliveira, Apr 04 2024: (Start)

G.f.: 8*(2+13*x)/(x-1)^2.

E.g.f.: 8*exp(x)*(2 + 15*x).

a(n) = 8*(A008597(n) + 2). (End)

PROG

(Magma) [8*(15*n + 2): n in [0..60]]; // Vincenzo Librandi, Jul 23 2011

(PARI) a(n)=120*n+16 \\ Charles R Greathouse IV, Oct 05 2011